Looking up the statutes in the poster's state of Kentucky, there's not necessarily a DMV block on a "warrant," but there certainly can be on things that cause warrants. For instance, FTA's will suspend/block licenses (and likely result in NELG to be sent to the NDR). So will unpaid child support. Both of these may also have a warrant issued in parallle. These are both the sort of warrants that tend to lie around (as opposed to one for some criminal arrest that tends to get dealt with).
I suspect even if you walk up and ask for a non-driving ID, they'll run your name through the same eligibility search. As to whether someone will be around to detain you, is up in the air.

